Trirectangular equable tetrahedra with integer face areas

We prove that there are exactly 9 tetrahedra with one solid right angle, all faces of integral area, whose sum corresponds to the volume of the tetrahedron.

Authors

Publication Details

Journal
Elemente der Mathematik
Published
2024-09-12
DOI
https://doi.org/10.4171/em/539
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Trirectangular equable tetrahedra with integer face areas

Christian Aebi
Elemente der Mathematik
Mathematics and Applications
article

Trirectangular equable tetrahedra with integer face areas

Christian Aebi
article en

Abstract

We prove that there are exactly 9 tetrahedra with one solid right angle, all faces of integral area, whose sum corresponds to the volume of the tetrahedron.

Elemente der MathematikVol. 80(3)
Openalex Percentile: Top 75%
Mathematics and Applications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Trirectangular equable tetrahedra with integer face areas — Christian Aebi · Elemente der Mathematik (2024) | TGRS Research Map | TGRS